Linear Functions Worksheet (Page 2 of 3) in pdf

Linear Functions Worksheet Page 2

D. Graphing a linear equation that is in standard form:

A linear equation of the form Ax + By = C, with A, B, and C are integers and A > 0, is

considered to be written in standard form.

Ex. Graph 2x + 5y = 0. State the domain and range.

This can be done by substituting for the intercept points.

To find another point, choose a value for x that will give a “good”

result to use when solving for y.

Ex. Graph 4x + 5y = 20. State the domain and range.

III. Slope of a Line (pp. 216 – 219)

The slope, m, of the line through the points

( , )

x y

and

( ,

x y

)

∆

−

rise

∆ ≠

m =

, where

∆

−

run

∆ means “the change or the difference in x ” and

* x

∆ means “the change or the difference in y ”.

*Be consistent when placing values into the formula. Also, show the – (-#) to avoid sign

mistakes when doing the arithmetic of the fraction.

Ex. Find the slope of the line that passes through:

a. ( -3, 7) and ( 4, -9)

b. (3, 12) and (3, -4)

c. (-7, 4) and (-2, 4)

Linear Functions Worksheet Page 2